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Finding the Fourth Proportional to 123,951.20, 185,708.10 and 101,643.80

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Solution

The fourth proportional to 123,951.20, 185,708.10 and 101,643.80 is: 152,286.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,951.20 : 185,708.10 = 101,643.80 : x
  2. Step 2: Convert to fraction form
    123,951.20/185,708.10 = 101,643.80/x
  3. Step 3: Cross multiply
    123,951.20x = 185,708.10 × 101,643.80
  4. Step 4: Simplify right side
    123,951.20x = 18,876,076,974.78
  5. Step 5: Solve for x
    x = 18,876,076,974.78/123,951.20
  6. Step 6: Final answer
    x = 152,286.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.